{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<AxesSubplot:>"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# figure 1 n=16\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "import seaborn as sns\n",
    "sns.set_theme(style=\"whitegrid\")\n",
    "\n",
    "tps_list = [\n",
    "    [960.4685336290952,13309.364317336936,9684.476891828554],\n",
    "    [1894.528942135908,23331.77189685733,17784.056132237685],\n",
    "    [2802.744281551559,30509.56417742599,23974.74051790485],\n",
    "    [3684.0323566581296,36103.21976277223,32198.876029511746],\n",
    "    [4582.248429150268,40234.079568555106,36039.503565574145]\n",
    "]\n",
    "data_value = np.asarray(tps_list)\n",
    "batch_list = [1000, 2000, 3000, 4000, 5000]\n",
    "batch = np.asarray(batch_list)\n",
    "data = pd.DataFrame(data_value, batch, columns=[\"hbbft\", \"dumbo\", \"hbbft_shard\"])\n",
    "\n",
    "\n",
    "# data = data.rolling(7).mean()\n",
    "\n",
    "sns.lineplot(data=data, palette=\"tab10\", linewidth=2.5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<AxesSubplot:>"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# figure 1 n=32\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "import seaborn as sns\n",
    "sns.set_theme(style=\"whitegrid\")\n",
    "\n",
    "tps_list = [\n",
    "    [525.4240771182856,8733.209261010974,18388.613235779205],\n",
    "    [1041.941608135314,14785.61397876356,33471.850801228014],\n",
    "    [1551.0117100600169,20962.211221128964,47526.51374045922],\n",
    "    [2050.3572362389277,25128.257220399337,58582.917915914586],\n",
    "    [2548.627690746302,28892.086691550252,70208.45425150557]\n",
    "]\n",
    "data_value = np.asarray(tps_list)\n",
    "batch_list = [1000, 2000, 3000, 4000, 5000]\n",
    "batch = np.asarray(batch_list)\n",
    "data = pd.DataFrame(data_value, batch, columns=[\"hbbft\", \"dumbo\", \"hbbft_shard\"])\n",
    "\n",
    "\n",
    "# data = data.rolling(7).mean()\n",
    "\n",
    "sns.lineplot(data=data, palette=\"tab10\", linewidth=2.5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "# figure 1 n=64\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "import seaborn as sns\n",
    "sns.set_theme(style=\"whitegrid\")\n",
    "\n",
    "tps_list = [\n",
    "    [525.4240771182856,8733.209261010974,18388.613235779205],\n",
    "    [1041.941608135314,14785.61397876356,33471.850801228014],\n",
    "    [1551.0117100600169,20962.211221128964,47526.51374045922],\n",
    "    [2050.3572362389277,25128.257220399337,58582.917915914586],\n",
    "    [2548.627690746302,28892.086691550252,70208.45425150557]\n",
    "]\n",
    "data_value = np.asarray(tps_list)\n",
    "batch_list = [1000, 2000, 3000, 4000, 5000]\n",
    "batch = np.asarray(batch_list)\n",
    "data = pd.DataFrame(data_value, batch, columns=[\"hbbft\", \"dumbo\", \"hbbft_shard\"])\n",
    "\n",
    "\n",
    "# data = data.rolling(7).mean()\n",
    "\n",
    "sns.lineplot(data=data, palette=\"tab10\", linewidth=2.5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<AxesSubplot:>"
      ]
     },
     "execution_count": 1,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# figure3 n=16\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "import seaborn as sns\n",
    "sns.set_theme(style=\"whitegrid\")\n",
    "\n",
    "consus = [\n",
    "    [16.658536370311463,0.9016208222934177,1.6226261769022257],\n",
    "    [16.890742225306376,1.0286402638469423, 1.7832987861973901],\n",
    "    [17.126071870326996,1.1799578581537518,1.9127273900168285],\n",
    "    [17.372268700173922,1.329521309052195,1.9876470203910555],\n",
    "    [17.458678034799437,1.329521309052195,2.1801473604781285]\n",
    "]\n",
    "data_value = np.asarray(consus)\n",
    "# batch_list = [16, 32, 64, 96]\n",
    "# tps_list = [999.344651271388,4776.674911356351,17784.056132237685,30785.888498003704, 40453.59206446519]\n",
    "tps_list = [999.344651271388,13551.868286753004, 23974.74051790485, 32198.876029511746, 40453.59206446519]\n",
    "tps = np.asarray(tps_list)\n",
    "data = pd.DataFrame(data_value, tps, columns=[\"hbbft\", \"dumbo\", \"hbbft_shard\"])\n",
    "\n",
    "\n",
    "sns.lineplot(data=data, palette=\"tab10\", linewidth=2.5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<AxesSubplot:>"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# figure3 n=32\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "import seaborn as sns\n",
    "sns.set_theme(style=\"whitegrid\")\n",
    "\n",
    "consus = [\n",
    "    [60.90318543357508,2.7481306450707574,1.7402073549372807],\n",
    "    [61.423787571489804,3.246398835309914, 1.877910583146981],\n",
    "    [61.895083948969834,3.4347521471125737,1.9568024809871403],\n",
    "    [62.428145562963834,3.8204002433589532,2.116657968078341],\n",
    "    [62.77888315383876,4.153386402343001,2.2382326860513007]\n",
    "]\n",
    "data_value = np.asarray(consus)\n",
    "# batch_list = [16, 32, 64, 96]\n",
    "# tps_list = [999.344651271388,4776.674911356351,17784.056132237685,30785.888498003704, 40453.59206446519]\n",
    "tps_list = [538.7433607184222,14995.414256313847, 21002.571350271493, 29291.45895795729, 35104.22712575278]\n",
    "tps = np.asarray(tps_list)\n",
    "data = pd.DataFrame(data_value, tps, columns=[\"hbbft\", \"dumbo\", \"hbbft_shard\"])\n",
    "\n",
    "\n",
    "sns.lineplot(data=data, palette=\"tab10\", linewidth=2.5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<AxesSubplot:>"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# figure3 n=64\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "import seaborn as sns\n",
    "sns.set_theme(style=\"whitegrid\")\n",
    "\n",
    "consus = [\n",
    "    [244.919255970312,14.096137822738712,5.786953553557396],\n",
    "    [243.70304444858004,19.094323391360888, 5.966551923326083],\n",
    "    [245.77374432661705,24.17023477330804,6.166811612035547],\n",
    "    [248.54674225194114,29.282109898115912,6.4847138704998155],\n",
    "    [253.3399740340455,34.50407603276628,6.778022644775255]\n",
    "]\n",
    "data_value = np.asarray(consus)\n",
    "# batch_list = [16, 32, 64, 96]\n",
    "# tps_list = [999.344651271388,4776.674911356351,17784.056132237685,30785.888498003704, 40453.59206446519]\n",
    "tps_list = [262.07208735221656,6000, 12000, 18000, 23500.321942491217]\n",
    "tps = np.asarray(tps_list)\n",
    "data = pd.DataFrame(data_value, tps, columns=[\"hbbft\", \"dumbo\", \"hbbft_shard\"])\n",
    "\n",
    "\n",
    "sns.lineplot(data=data, palette=\"tab10\", linewidth=2.5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<AxesSubplot:>"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# figure3 n=96\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "import seaborn as sns\n",
    "sns.set_theme(style=\"whitegrid\")\n",
    "\n",
    "consus = [\n",
    "    [567.8822805310286,35.73368356270448,5.644461487020765],\n",
    "    [575.0567894191258,43.72275981981131, 5.884233549662998],\n",
    "    [575.1481525003913,51.94507109231892,6.159126467364176],\n",
    "    [581.3153836957756,60.267124857669494,6.4384654658181315],\n",
    "    [589.3519345812853,68.59302657452368,6.744186418397083]\n",
    "]\n",
    "data_value = np.asarray(consus)\n",
    "# batch_list = [16, 32, 64, 96]\n",
    "# tps_list = [999.344651271388,4776.674911356351,17784.056132237685,30785.888498003704, 40453.59206446519]\n",
    "tps_list = [161.94605735777483,2500, 5000, 7500, 9885.056926186153]\n",
    "tps = np.asarray(tps_list)\n",
    "data = pd.DataFrame(data_value, tps, columns=[\"hbbft\", \"dumbo\", \"hbbft_shard\"])\n",
    "\n",
    "\n",
    "sns.lineplot(data=data, palette=\"tab10\", linewidth=2.5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<AxesSubplot:>"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# figure4_2 n=64\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "import seaborn as sns\n",
    "sns.set_theme(style=\"whitegrid\")\n",
    "\n",
    "consus = [\n",
    "    [64000.0,48000.0,8000.0],\n",
    "    [128000.0,96000.0, 16000.0],\n",
    "    [192000.0,144000.0,23785.71428571429],\n",
    "    [256000.0,192000.0,32000.0],\n",
    "    [320000.0,240000.0,39821.42857142858]\n",
    "]\n",
    "data_value = np.asarray(consus)\n",
    "# batch_list = [16, 32, 64, 96]\n",
    "# tps_list = [999.344651271388,4776.674911356351,17784.056132237685,30785.888498003704, 40453.59206446519]\n",
    "tps_list = [200,1875, 3150, 1675, 6500]\n",
    "tps = np.asarray(tps_list)\n",
    "data = pd.DataFrame(data_value, tps, columns=[\"hbbft\", \"dumbo\", \"hbbft_shard\"])\n",
    "\n",
    "\n",
    "sns.lineplot(data=data, palette=\"tab10\", linewidth=2.5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<AxesSubplot:>"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# figure4_2 n=96\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "import seaborn as sns\n",
    "sns.set_theme(style=\"whitegrid\")\n",
    "\n",
    "consus = [\n",
    "    [91285.71428571438,72000.0,8000.0],\n",
    "    [192000.0,144000.0, 16000.0],\n",
    "    [288000.0,216000.0,24000.0],\n",
    "    [382857.1428571425,288000.0,32000.0],\n",
    "    [480000.0,360000.0,40000.0]\n",
    "]\n",
    "tps = [\n",
    "    [161.94605735777483,,],\n",
    "    \n",
    "]\n",
    "\n",
    "data_value = np.asarray(consus)\n",
    "# batch_list = [16, 32, 64, 96]\n",
    "# tps_list = [999.344651271388,4776.674911356351,17784.056132237685,30785.888498003704, 40453.59206446519]\n",
    "tps_list = [200,1875, 3150, 1675, 6500]\n",
    "tps = np.asarray(tps_list)\n",
    "data = pd.DataFrame(data_value, tps, columns=[\"hbbft\", \"dumbo\", \"hbbft_shard\"])\n",
    "\n",
    "\n",
    "sns.lineplot(data=data, palette=\"tab10\", linewidth=2.5)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3.7.13 ('hbb')",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.13"
  },
  "orig_nbformat": 4,
  "vscode": {
   "interpreter": {
    "hash": "7f5c99d094b399fa9e65cc4107643c6d5293cb8e1c21c8f7db515a0780c667bb"
   }
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
